3432133296 has 200 divisors, whose sum is σ = 10476092880. Its totient is φ = 1083124224.

The previous prime is 3432133259. The next prime is 3432133303. The reversal of 3432133296 is 6923312343.

3432133296 is a `hidden beast` number, since 3 + 4 + 321 + 3 + 329 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3432133296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1991091 + ... + 1992813.

Almost surely, 2^3432133296 is an apocalyptic number.

3432133296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3432133296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238046440).

3432133296 is an abundant number, since it is smaller than the sum of its proper divisors (7043959584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3432133296 is a wasteful number, since it uses less digits than its factorization.

3432133296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1810 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 3432133296 is about 58584.4117150629. The cubic root of 3432133296 is about 1508.4168744778.

The spelling of 3432133296 in words is "three billion, four hundred thirty-two million, one hundred thirty-three thousand, two hundred ninety-six".